But, unbeknownst to anyone besides David and Meredith, Weyland himself stowed away on the expedition to try and appeal to the Engineers personally for his immortality.
Needless to say, it didn’t really work, but we do get a flashback with Weyland and David at the beginning of Alien: Covenant.
It was to this end he funded the Prometheus mission, and sent along his daughter, Meredith (Charlize Theron), as the “company man” on the ground.
Peter Weyland, a captain of industry and the man behind what would eventually become the Weyland-Yutani Corporation, wanted to become immortal.